Volume and Surface Area of Square-based Pyramids

Front

What is the formula for the volume of a square-based pyramid?

Back

V = (1/3)Bh, where B is the area of the base and h is the height.

Front

How do you calculate the area of the base of a square-based pyramid?

Back

Area = side length × side length (A = s²).

Front

What is the surface area formula for a square-based pyramid?

Back

SA = ½lp + B, where l is the slant height, p is the perimeter of the base, and B is the area of the base.

Front

What does 'B' represent in the surface area formula?

Back

B represents the base area of the pyramid.

Front

What does 'P' stand for in the surface area formulas?

Back

P stands for the perimeter of the base.

Front

If the side length of the base of a pyramid is 8 cm, what is the area of the base?

Back

64 cm² (Area = 8 cm × 8 cm).

Front

What is the height of a pyramid if the volume is 192 cm³ and the base area is 64 cm²?

Back

Height = 9 cm (V = (1/3)Bh, so h = 192 cm³ / (1/3 × 64 cm²)).

Front

How do you find the slant height of a square-based pyramid?

Back

Use the Pythagorean theorem: l = √(h² + (s/2)²), where h is the height and s is the side length of the base.

Front

What is the perimeter of the base of a square-based pyramid with a side length of 5 m?

Back

20 m (Perimeter = 4 × side length).

Front

If the slant height of a pyramid is 10 cm and the base side length is 6 cm, what is the surface area?

Back

SA = ½(24) + 36 = 12 + 36 = 48 cm².